One evening before sunset Rekha and Hema were talking to each other face to face. If Hema's shadow was exactly to the right of Hema, which direction was Rekha facing?

From option (c),
8 * 8 * 1 * 7 = 8
? 8 ÷ 8 x 1 + 7 = 8
? 8 = 8

Statements
P < Q = R ? S ? T
Conclusions
I. T ? Q         (true)
II. R > P       (true)
Hence, both conclusions are definitely true.

If we interchanges signs '+' and '÷', then the equation changes into
15 + 9 x 3 - 74 ÷ 2 = 15 + 27 - 37 = 5

Solve all option one by one,
36 + 6 - 3 x 2 = 20
After changing the symbol as per question,
36 ÷ 6 x 3 + 2 = 20
Apply the BODMAS rule,
? 6 x 3 + 2 = 20
? 18 + 2 = 20
? 20 = 20

H ? W ..(i) W < N ...(ii) R = N ...(iii)
Combining these we get H ? W < N = R
Hence R > W and I follows
Again N > W and II follows
And, H < R III follows

4 x 3 x 4 = 48

D ? N ...(i) R = F ...(ii) F > T ...(ii)
From (i) and (ii) D ? R = F or D ? F or F ? D.
Hence either I (F = D ) or II (F > D) follows
From (ii) and (iii) R = F > T or R > T or T < R.
Hence III follows.

M < T ... (i) T > K ...(ii) K = D ...(iii)
From (ii) and (iii) T > K = D or D < T.
Hence I follow
From (i) and (ii) K and M can't be compared
Hence II does not follow

N < O ? R > T; R < A; B ? T
Check for I:
N < O ? R > T
? No definite relation can be found between N and A.
Check for II:

Apply all option one by one.
? 6 x 4 + 2 = 16 ? 4 + 6 x 2 = 16 ? 4 + 12 = 16